The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 21RF237 # Created Sun Apr 27 01:11:27 2025 # Orbit generated from Bernstein formalism # Fitting 8 observations of 8 # Arc: 2.11y # First observation: 2019/08/29 # Last observation: 2021/10/07 Preliminary a, adot, b, bdot, g, gdot: 0.000009 0.023364 0.000000 0.001484 0.024033 0.000000 # Chi-squared of fit: 3.90 DOF: 10 RMS: 0.12 # Min/Max residuals: -0.27 0.24 # Exact a, adot, b, bdot, g, gdot: 1.496039E-05 2.344866E-02 1.621417E-06 1.490524E-03 2.406586E-02 2.213753E-03 # Covariance matrix: 7.2597E-13 -1.7626E-12 1.6213E-14 -9.5332E-14 -1.2921E-12 -3.0061E-11 -1.7626E-12 5.9471E-11 -6.6191E-13 3.8031E-12 6.5805E-11 1.1992E-09 1.6213E-14 -6.6191E-13 6.3164E-13 -3.7738E-13 -7.3445E-13 -1.3408E-11 -9.5332E-14 3.8031E-12 -3.7738E-13 4.9963E-13 4.2104E-12 7.7078E-11 -1.2921E-12 6.5805E-11 -7.3445E-13 4.2104E-12 7.4416E-11 1.3276E-09 -3.0061E-11 1.1992E-09 -1.3408E-11 7.7078E-11 1.3276E-09 2.4303E-08 # lat0 lon0 xBary yBary zBary JD0 -1.673625 -9.095989 0.264198 -0.028299 -0.968703 2458724.712719 # Heliocentric elements and errors Epoch: 2458720.5000 = 2019/08/25 Mean Anomaly: 62.00738 +/- 0.672 Argument of Peri: 263.16735 +/- 1.372 Long of Asc Node: 14.82554 +/- 0.007 Inclination: 3.97046 +/- 0.001 Eccentricity: 0.09810200 +/- 0.0063 Semi-Major Axis: 44.20644245 +/- 0.0282 Time of Perihelion: 2440229.1921 +/- 199.5 Perihelion: 39.86970224 +/- 0.2816 Aphelion: 48.54318267 +/- 0.2822 Period (y) 293.9250 +/- 0.28 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.93060709 +/- 0.0147 Ecliptic Y -6.98727909 +/- 0.0023 Ecliptic Z -1.21352294 +/- 0.0004 Ecliptic XDOT 0.00068365 +/- 0.0000 Ecliptic YDOT 0.00259408 +/- 0.0000 Ecliptic ZDOT 0.00016192 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.52611572 +/- 0.0145 Geocenter to KBO 41.55263181 +/- 0.0149 # Hcoef: 9.15
The following table shows the complete astrometric record for 21RF237. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (21RF237) followed by the observatory code and reference code for the source of the astrometry.
2019 08 29.211918 23 29 13.146 -05 08 37.21 25.3r 21RF237 W84 C~7XPn 2019 08 29.387113 23 29 12.379 -05 08 41.80 25.3r 21RF237 W84 C~7XPn 2020 10 16.001792 23 30 36.840 -04 53 02.74 25.3r 21RF237 W84 C~7XPn 2020 10 16.175804 23 30 36.190 -04 53 06.71 25.3r 21RF237 W84 C~7XPn 2021 09 05.096099 23 38 18.493 -03 58 52.30 25.4r 21RF237 W84 C~7XPn 2021 09 05.195929 23 38 18.089 -03 58 54.84 25.4r 21RF237 W84 C~7XPn 2021 10 07.004805 23 36 00.505 -04 13 05.09 25.4r 21RF237 W84 C~7XPn 2021 10 07.169933 23 35 59.830 -04 13 09.26 25.4r 21RF237 W84 C~7XPn
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 0.09 0.00 -0.13
2 0.0005 -12.34 -0.08 0.30 0.05
3 1.1329 1517.90 0.04 365.14 0.21
4 1.1334 1507.40 -0.07 365.33 -0.04
5 2.0202 9150.71 -0.27 615.41 -0.02
6 2.0205 9144.14 0.24 615.48 -0.04
7 2.1076 6913.87 -0.02 652.04 0.07
8 2.1080 6902.93 0.06 652.21 -0.10
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.
21RF237 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.208 44.332 44.105 ecceobj 0.095 0.110 0.079 incobj 3.966 3.965 3.967 qmin 39.426 38.876 39.963 qmax 49.104 49.847 48.238 amean 44.106 44.235 44.008 amin 43.750 43.877 43.664 amax 44.497 44.632 44.375 emean 0.087 0.102 0.073 emin 0.071 0.086 0.056 emax 0.104 0.118 0.087 imean 3.876 3.871 3.873 imin 3.133 3.102 3.146 imax 4.526 4.553 4.505 excite_mean 0.110 0.123 0.099 fracstop 1.000 1.000 1.000 cjmean 3.088 3.086 3.090 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 182.3 181.7 183.2 kozaiamp 180.0 180.0 180.0